Set of values of ' \( a \) ' for which the function \( f: R \rightarrow R \), given by \( f(x)=x...

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Set of values of ' \( a \) ' for which the function \( f: R \rightarrow R \), given by \( f(x)=x^{3}+(a+2) x^{2}+3 a x+10 \) is one-one is given by :
(a) \( (-\infty, 1] \cup[4, \infty) \)
(b) \( [1,4] \)
(c) \( [1, \infty) \)
(d) \( [-\infty, 4] \)
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